REFERENCE IN ARITHMETIC
نویسندگان
چکیده
منابع مشابه
Self-reference in Arithmetic∗
AGödel sentence is oen described as a sentence saying about itself that it is not provable and a Henkin sentence as a sentence stating its own provability. We discuss what it couldmean for a sentence to ascribe to itself a property such as provability or unprovability. e starting point will be the answer Kreisel gave to Henkin’s problem. We describe how the properties of the supposedly self-re...
متن کاملARITHMETIC-BASED FUZZY CONTROL
Fuzzy control is one of the most important parts of fuzzy theory for which several approaches exist. Mamdani uses $alpha$-cuts and builds the union of the membership functions which is called the aggregated consequence function. The resulting function is the starting point of the defuzzification process. In this article, we define a more natural way to calculate the aggregated consequence funct...
متن کاملarithmetic in astronomy: a treatise on sexagesimal arithmetic
the treatise entitled “arithmetic in astronomy”, which is edited and commented upon in this paper, is part of an old manuscript collection preserved in the national library of bosnia and herzegovina. at the end of this treatise there are some phrases in arabic which show that the treatise was originally part of a persian book written by ʿalī al-qūshchī. this manuscript is, in fact, an abridged ...
متن کاملArithmetic Teichmuller Theory
By Grothedieck's Anabelian conjectures, Galois representations landing in outer automorphism group of the algebraic fundamental group which are associated to hyperbolic smooth curves defined over number fields encode all arithmetic information of these curves. The goal of this paper is to develope and arithmetic teichmuller theory, by which we mean, introducing arithmetic objects summarizing th...
متن کاملCuts and overspill properties in models of bounded arithmetic
In this paper we are concerned with cuts in models of Samuel Buss' theories of bounded arithmetic, i.e. theories like $S_{2}^i$ and $T_{2}^i$. In correspondence with polynomial induction, we consider a rather new notion of cut that we call p-cut. We also consider small cuts, i.e. cuts that are bounded above by a small element. We study the basic properties of p-cuts and small cuts. In particula...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The Review of Symbolic Logic
سال: 2018
ISSN: 1755-0203,1755-0211
DOI: 10.1017/s1755020317000351